# 15 23 23 triangle

### Acute isosceles triangle.

Sides: a = 15   b = 23   c = 23

Area: T = 163.0711111789
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 38.06328818502° = 38°3'46″ = 0.66443226111 rad
Angle ∠ B = β = 70.96985590749° = 70°58'7″ = 1.23986350213 rad
Angle ∠ C = γ = 70.96985590749° = 70°58'7″ = 1.23986350213 rad

Height: ha = 21.74328149052
Height: hb = 14.18800966773
Height: hc = 14.18800966773

Median: ma = 21.74328149052
Median: mb = 15.64444878472
Median: mc = 15.64444878472

Inradius: r = 5.34765938291
Circumradius: R = 12.16549382177

Vertex coordinates: A[23; 0] B[0; 0] C[4.89113043478; 14.18800966773]
Centroid: CG[9.29771014493; 4.72766988924]
Coordinates of the circumscribed circle: U[11.5; 3.96768276797]
Coordinates of the inscribed circle: I[7.5; 5.34765938291]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.937711815° = 141°56'14″ = 0.66443226111 rad
∠ B' = β' = 109.0311440925° = 109°1'53″ = 1.23986350213 rad
∠ C' = γ' = 109.0311440925° = 109°1'53″ = 1.23986350213 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.